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More Voronoi plots

🔗Paul H. Erlich <PERLICH@ACADIAN-ASSET.COM>

3/17/2000 12:02:49 PM

Spurred by Darren Burgess' request, I made Voronoi plots for the triads
available in a bunch of JI scales -- they're at
http://lumma.org/erlich/voronoi/. 5-limit major triads are shown in red and
5-limit minor triads are shown in blue.

wolf.jpg 17-Mar-2000 01:37 134k
(3,6)1·3·5·7·9·11 Eikosany -- for Daniel Wolf

pentdek1.jpg 17-Mar-2000 01:43 112k
(2,6)1·3·5·7·9·11 Pentadekany

pentdek2.jpg 17-Mar-2000 01:44 112k
(4,6)1·3·5·7·9·11 Pentadekany

dek1.jpg 17-Mar-2000 01:42 76k
(2,5)1·3·5·7·9 Dekany

dek2.jpg 17-Mar-2000 01:42 77k
(3,5)1·3·5·7·9 Dekany

burg5.jpg 17-Mar-2000 01:40 57k
5-limit Tonality Diamond

burg7.jpg 17-Mar-2000 01:40 80k
7-limit Tonality Diamond

burg9.jpg 17-Mar-2000 01:41 117k
9-limit Tonality Diamond

burg11.jpg 17-Mar-2000 01:48 192k
11-limit Tonality Diamond

burg13.jpg 17-Mar-2000 01:39 295k
13-limit Tonality Diamond

I'm still working on the 15-limit Tonality Diamond -- it really bogs my
computer down.

The ones above assume octave-equivalence; the one below doesn't:

triads.jpg 17-Mar-2000 01:46 250k
Harmonic Series through 64th harmonic

Thanks Carl for putting these up.